This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A082342 #8 Oct 15 2015 10:55:24 %S A082342 0,1,2,3,4,5,7,6,8,9,10,12,11,13,17,18,16,14,15,21,19,20,22,23,24,26, %T A082342 25,27,31,32,30,28,29,35,33,34,36,45,46,48,49,50,44,47,42,37,38,43,39, %U A082342 40,41,58,59,56,51,52,57,53,54,55,63,60,61,62,64,65,66,68,67,69 %N A082342 Permutation of natural numbers induced by the Catalan bijection gma082342 acting on the parenthesizations encoded by A014486/A063171. %C A082342 This is A057163-conjugate of A073284. %H A082342 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (with the complete Scheme source) %H A082342 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a> %o A082342 (Scheme functions implementing this automorphism on list-structures:) %o A082342 (define (gma082342! s) (cond ((pair? s) (gma082342! (cdr s)) (gma072797! s) (gma082342! (car s)))) s) %Y A082342 Inverse of A082341. a(n) = A057163(A073284(A057163(n))). Occurs in A073200. Cf. also A072797, A082337-A082339. %Y A082342 Differs from A082325 first time at n=39: a(39)=48, while A082325(39)=49. %Y A082342 Number of cycles: A057513. Number of fixed-points: A057546. Max. cycle size: A000793. LCM of cycle sizes: A003418. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right). %K A082342 nonn %O A082342 0,3 %A A082342 _Antti Karttunen_, Apr 17 2003